\newproblem{lay:1_9_2}{
  % Problem identification
	\begin{large}
	  \hspace{\fill}\newline
    \textbf{Lay, 1.9.2}
	\end{large}
	\\
  \ifthenelse{\boolean{identifyAuthor}}{\textit{Yolanda Manrique Marcos, December 17th, 2013} \\}{}

  % Problem statement
  Find the standard matrix of $T:\mathbb{R}^3\rightarrow\mathbb{R}^2$, when $T(\mathbf{e}_1)=(1,4)$,
	$T(\mathbf{e}_2)=(-2,9)$ and $T(\mathbf{e}_3)=(3,-8)$ where $\mathbf{e}_1$,$\mathbf{e}_2$ and $\mathbf{e}_3$ are the columns of the $3\times 3$ identity matrix.
}{
  % Solution
	The standard matrix of $T$ is
	\begin{center}
		$A=\begin{pmatrix}T(\mathbf{e}_1) & T(\mathbf{e}_2) & T(\mathbf{e}_3)\end{pmatrix}=\begin{pmatrix}1 & -2 & 3 \\ 4 & 9 & -8\end{pmatrix}$
	\end{center}
}
\useproblem{lay:1_9_2}
\ifthenelse{\boolean{eachProblemInOnePage}}{\newpage}{}
